52962008 has 64 divisors (see below), whose sum is σ = 114462720. Its totient is φ = 22739200.

The previous prime is 52962001. The next prime is 52962017. The reversal of 52962008 is 80026925.

52962008 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52962001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277193 + ... + 277383.

It is an arithmetic number, because the mean of its divisors is an integer number (1788480).

Almost surely, 2^52962008 is an apocalyptic number.

52962008 is the 4202-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52962008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57231360).

52962008 is an abundant number, since it is smaller than the sum of its proper divisors (61500712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52962008 is a wasteful number, since it uses less digits than its factorization.

52962008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 52962008 is about 7277.5001202336. The cubic root of 52962008 is about 375.5387999999.

The spelling of 52962008 in words is "fifty-two million, nine hundred sixty-two thousand, eight".